Search a number
-
+
2121212202001 = 17319912771699
BaseRepresentation
bin11110110111100010000…
…110011000110000010001
321111210012220222200222221
4132313202012120300101
5234223220310431001
64302245455101041
7306152421136054
oct36674206306021
97453186880887
102121212202001
11748667a96242
122a3131811781
1312504c925b19
147494abc0a9b
153a29e5ce1a1
hex1ede2198c11

2121212202001 has 32 divisors (see below), whose sum is σ = 2268194400000. Its totient is φ = 1983678909696.

The previous prime is 2121212201959. The next prime is 2121212202013. The reversal of 2121212202001 is 1002022121212.

It is a happy number.

It is not a de Polignac number, because 2121212202001 - 213 = 2121212193809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121212202041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248505450 + ... + 1248507148.

It is an arithmetic number, because the mean of its divisors is an integer number (70881075000).

Almost surely, 22121212202001 is an apocalyptic number.

It is an amenable number.

2121212202001 is a deficient number, since it is larger than the sum of its proper divisors (146982197999).

2121212202001 is a wasteful number, since it uses less digits than its factorization.

2121212202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2121212202001 its reverse (1002022121212), we get a palindrome (3123234323213).

The spelling of 2121212202001 in words is "two trillion, one hundred twenty-one billion, two hundred twelve million, two hundred two thousand, one".

Divisors: 1 17 199 289 1277 1699 3383 4913 21709 28883 57511 254123 338101 369053 491011 977687 2169623 4320091 5747717 6273901 8347187 36883591 73441547 97711189 431754977 627021047 1248506299 1661090213 7339834609 10659357799 124777188353 2121212202001